# Wedge-local observables in the deformed sine-Gordon model

December 07, 2016

In the bootstrap approach to integrable quantum field theories in the
(1+1)-dimensional Minkowski space, one conjectures the two-particle S-matrix
and tries to study local observables. The massless sine-Gordon model is
conjectured to be equivalent to the Thirring model, and its breather-breather
S-matrix components (where the first breather corresponds to the scalar field
of the sine-Gordon model) are closed under fusion. Yet, the residues of the
poles in this breather-breather S-matrix have wrong signs and cannot be
considered as a separate model. We find CDD factors which adjust the signs, so
that the breather-breather S-matrix alone satisfies reasonable assumptions.
Then we propose candidates for observables in wedge-shaped regions and prove
their commutativity in the weak sense.

Keywords:

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